LCM of 355, 414, 986, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 414, 986, 714 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 355, 414, 986, 714. So, keep reading to learn more.
Given numbers are 355,414,986,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,414,986,714 is 507193470.
Find LCM of 355,414,986,714 with Prime Factorization
| 2 | 355, 414, 986, 714 |
| 3 | 355, 207, 493, 357 |
| 17 | 355, 69, 493, 119 |
| 355, 69, 29, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 355 x 69 x 29 x 7 = 507193470
Therefore, the lowest common multiple of 355,414,986,714 is 507193470.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
355 x 414 x 986 x 714 = 103467467880
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
355 : 1, 5, 71, 355
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
986 : 1, 2, 17, 29, 34, 58, 493, 986
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,414,986,714, is 1.
Now, the common factors can be found like this.
355:5x 71
414:2x 3x 3x 23
986:2x 17x 29
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 17 = 204
Therefore, the value for common factors is 204.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 103467467880/(1x204)
LCM = 103467467880/204
LCM = 507193470
Thus, we can understand that the LCM of 355,414,986,714 is 507193470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 355, 414, 986, 714
1. What is the LCM of 355, 414, 986, 714?
Answer: LCM of 355, 414, 986, 714 is 507193470.
2. How to calculate the LCM of 355, 414, 986, 714?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 355, 414, 986, 714.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.